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Finding the Fourth Proportional to 625.72, 861.66 and 428.92

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Solution

The fourth proportional to 625.72, 861.66 and 428.92 is: 590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.72 : 861.66 = 428.92 : x
  2. Step 2: Convert to fraction form
    625.72/861.66 = 428.92/x
  3. Step 3: Cross multiply
    625.72x = 861.66 × 428.92
  4. Step 4: Simplify right side
    625.72x = 369,583.21
  5. Step 5: Solve for x
    x = 369,583.21/625.72
  6. Step 6: Final answer
    x = 590.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.